SOLUTION: A careful count of 13,789 carcasses of bugs killed by “mosquito zappers” used in homes near water showed that only 18 were mosquitoes. (a) Construct a 90 percent confidence interva
Algebra ->
Probability-and-statistics
-> SOLUTION: A careful count of 13,789 carcasses of bugs killed by “mosquito zappers” used in homes near water showed that only 18 were mosquitoes. (a) Construct a 90 percent confidence interva
Log On
Question 135787: A careful count of 13,789 carcasses of bugs killed by “mosquito zappers” used in homes near water showed that only 18 were mosquitoes. (a) Construct a 90 percent confidence interval for the proportion of all zapped bugs that are mosquitoes. (b) Is a confidence interval really helpful in deciding whether the devices fulfill their purpose? Explain Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A careful count of 13,789 carcasses of bugs killed by “mosquito zappers” used in homes near water showed that only 18 were mosquitoes.
---------------------------------------------------------------
p-hat = 18/13789 = 0.0013..
------------------------------------
E = 1.645*sqrt[0.0013*0.9987/13789] = 0.0005047633...
--------------------------------------
(a) Construct a 90 percent confidence interval for the proportion of all zapped bugs that are mosquitoes.
95% CI: p-hat - E < p > p-hat +E
--------------------------------------
(b) Is a confidence interval really helpful in deciding whether the devices fulfill their purpose? Explain
I'll leave that to you.
----------------------------------------
Cheers,
Stan H.
(